In this article, we design the unitary operator \(U\)  in Eq. (REF ) using Jaynes-Cummings model[1]}. In Jaynes-Cummings model, an interaction between a light and a two-level atom is described by a Hamiltonian on the composite Hilbert space \(\mathcal {H}\otimes \widetilde{\mathcal {H}}\)
\(H(t):=H_0+H_{int}(t),\) 
